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Gu =
GL =
Slenderness Ratio for non-sway Frames
k =
Stiffness
reduction factor ( t ) due to column inelasticity:
a). Pf / Py <= 0.5 (elastic):
t =1.0
b). Pf / Py > 0.5 (inelastic):
t = 4 (Pf / Py).
( 1 - Pf / Py)
Py = Fy.Ag
Pf - factored axial load on the column, Pf <=
0.85 Py
Methods for Stability Design
Direct
Analysis:
1). Use any second-order elastic analysis
2). Consider notional load for out-of-plumbness (0.2% of total
gravity load)
3). Use a reduced flexural and axial stiffness to account for
influence of inelasticity (EI* = 0.8 t EI,
EA* = 0.8 EA)
4). K = 1.0
Effective
Length Method: (B2 = D2nd-order / D1st-order
<= 1.5)
1). Use any second-order elastic analysis (nominal geometry,
stiffness)
2). Consider notional load for out-of-plumbness (0.2% of total
gravity load)
3). Determine K from a sideway buckling analysis
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